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Finding the Fourth Proportional to 8,123.56, 12,187.77 and 4,230.70

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Solution

The fourth proportional to 8,123.56, 12,187.77 and 4,230.70 is: 6,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.56 : 12,187.77 = 4,230.70 : x
  2. Step 2: Convert to fraction form
    8,123.56/12,187.77 = 4,230.70/x
  3. Step 3: Cross multiply
    8,123.56x = 12,187.77 × 4,230.70
  4. Step 4: Simplify right side
    8,123.56x = 51,562,798.54
  5. Step 5: Solve for x
    x = 51,562,798.54/8,123.56
  6. Step 6: Final answer
    x = 6,347.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.